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Do laws extend into Outer Space?

I was discussing this with a friend a little while ago. We were talking about the things we would like to do to the person who sexually assaulted her, when I mentioned exposing his naked hands to space. That would be a fitting punishment for him.

That’s when it hit me… Are there any laws that currently extend into space? I mean, is murder illegal in Outer Space? If there are laws, how far away from Earth would you have to be for those laws to cease control?